caa a22 4500 445330287 CHVBK 20180317142735.0 cr unu---uuuuu 170323e20110601xx s 000 0 eng 10.1007/s00285-010-0360-x doi (NATIONALLICENCE)springer-10.1007/s00285-010-0360-x Global dynamics of hematopoietic stem cells and differentiated cells in a chronic myeloid leukemia model [Elektronische Daten] [Bedr'Eddine Aïnseba, Chahrazed Benosman] We consider a mathematical model describing evolution of normal and leukemic hematopoietic stem cells (HSC) and differentiated cells in bone marrow. We focus on chronic myeloid leukemia (CML), a cancer of blood cells resulting from a malignant transformation of hematopoietic stem cells. The dynamics are given by a system of ordinary differential equations for normal and leukemic cells. Homeostasis regulates the proliferation of normal HSC and leads the dynamics to an equilibrium. This mechanism is partially efficient for leukemic cells. We define homeostasis by a functional of either hematopoietic stem cells, differentiated cells or both cell lines. We determine the number of hematopoietic stem cells and differentiated cells at equilibrium. Conditions for regeneration of hematopoiesis and persistence of CML are obtained from the global asymptotic stability of equilibrium states. We prove that normal and leukemic cells can not coexist for a long time. Numerical simulations illustrate our analytical results. The study may be helpful in understanding the dynamics of normal and leukemic hematopoietic cells. Springer-Verlag, 2010 Chronic myeloid leukemia nationallicence Hematopoietic stem cells nationallicence Homeostasis nationallicence Mathematical modeling nationallicence Ordinary differential equations nationallicence Aïnseba Bedr'Eddine Centre de Recherche INRIA Bordeaux Sud-Ouest, Institut de Mathématiques de Bordeaux, UMR CNRS 5251, Université de Bordeaux, 3 ter Place de la Victoire, 33076, Bordeaux cedex, France aut Benosman Chahrazed Centre de Recherche INRIA Bordeaux Sud-Ouest, Institut de Mathématiques de Bordeaux, UMR CNRS 5251, Université de Bordeaux, 3 ter Place de la Victoire, 33076, Bordeaux cedex, France aut Journal of Mathematical Biology Springer-Verlag 62/6(2011-06-01), 975-997 0303-6812 62:6<975 2011 62 285 https://doi.org/10.1007/s00285-010-0360-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00285-010-0360-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Aïnseba Bedr'Eddine Centre de Recherche INRIA Bordeaux Sud-Ouest, Institut de Mathématiques de Bordeaux, UMR CNRS 5251, Université de Bordeaux, 3 ter Place de la Victoire, 33076, Bordeaux cedex, France aut NATIONALLICENCE 700 1- Benosman Chahrazed Centre de Recherche INRIA Bordeaux Sud-Ouest, Institut de Mathématiques de Bordeaux, UMR CNRS 5251, Université de Bordeaux, 3 ter Place de la Victoire, 33076, Bordeaux cedex, France aut NATIONALLICENCE 773 0- Journal of Mathematical Biology Springer-Verlag 62/6(2011-06-01), 975-997 0303-6812 62:6<975 2011 62 285 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer